Rotational Three-Body Resonances: A New Adiabatic Approach
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In the standard adiabatic approach the motion of the fast, light particle (electron) is treated so as to produce an effective potential that governs the motion of the heavy particles (nuclei). The rotational degrees of freedom are then taken into account by adding the centrifugal J(J + 1)-term to the channel potentials and introducing rotational (Coriolis) couplings into conventional close-coupling calculations. Of course, a perturbative treatment of the rotational motion is justified only provided the rotational energy is sufficiently small. If, however, the rotation is as energetic as the motion of the fast particle, both motions should be treated on the same footing in order to produce symmetry-adapted effective potentials for the nuclear motion. Here, we present for the first time a set of adiabatic potentials of this type for two classical adiabatic systems, namely for H+ 2, for states with total angular momentum J = 35 and total spatial parity p = − 1, and for (pdμ)+-ion for states with J = 1 and p = − 1. Comparison with standard adiabatic approaches is very instructive.
KeywordsTotal Angular Momentum Adiabatic State Schrodinger Equation Quantization Axis Magnetic Quantum Number
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